33008812949640 has 512 divisors, whose sum is σ = 112290167808000. Its totient is φ = 7691863449600.

The previous prime is 33008812949621. The next prime is 33008812949663. The reversal of 33008812949640 is 4694921880033.

It is a super-2 number, since 2×33008812949640² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6776596405 + ... + 6776601275.

It is an arithmetic number, because the mean of its divisors is an integer number (219316734000).

Almost surely, 2^{33008812949640} is an apocalyptic number.

33008812949640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33008812949640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56145083904000).

33008812949640 is an abundant number, since it is smaller than the sum of its proper divisors (79281354858360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33008812949640 is a wasteful number, since it uses less digits than its factorization.

33008812949640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6581 (or 6577 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 33008812949640 in words is "thirty-three trillion, eight billion, eight hundred twelve million, nine hundred forty-nine thousand, six hundred forty".